Difficult to say. I think the best way to put it would be that I care about others very much when put in a position to do so. For example, if someone were in a compromising position like they had cancer, were in a car accident, lost a family member, etc. I would care very much. I've seen people pass away locally recently that were connected to people I know and it's had a big toll on me, despite not personally knowing most of those people that died. It's hard to describe, but it leaves me up at night sometimes. I care a bit too much, in that regard.
Now...on the other hand, if you give me reason to really, really dislike you, then I, plain and simple, don't give a fuck. I don't wish death on anyone and I may feel bad if that bad person is put in an unfortunately position, but...I won't care as much if there wasn't a preexisting issue.